I am dr XXXXXXX and I will try my level best to address your concerns.

Based on the information it seem that you are having post nasal drip due to sinusitis, which is the cause of the coughing as well as you sensation fo having hair and feeling of slightly swollen throat.

It will go away once the sinusitis is cleared up.

Advice- 1) If you are on antibiotics then its fine if not please consult near by physician and have an antibiotic to clear the sinusitis .

2) Mean while "Halls cough drop" will help to reduce the irritation and reduce the bothering from it.

3) Gargles with " XXXXXXX warm water" with "pinch of salt" will also give you relief for some time.

HALLS and water gargles with water will only give you relief temporarily, for permanent relief will only attained once the infection is clear.

Hope it helps to clear the ongoing issue. Please feel free to contact me for any clarification or any concerns.